Poissons equation, gravitational field.

A spherical planet of radius (3/2)R is composed of two solid regions of different, but constant, mass distributions. The core is located at r<=R and has a uniform density p0 and total mass M. The outer region has mass distribution p1 and total mass (19/2)/M

Obtain a general expression for the gravitational field g(r), using poissons equation, at a general point r from the planets centre.

Also determine the gravitational field experienced by a satelite orbiting the planet at a general distance r>(3/2)R, express the answer in terms of the known mass of the planet core.

Any help greatly appreciated.

Last edited by featherbox; November 21st 2010 at 12:39 PM.
Reason: Title.